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This paper describes the mathematical model for transmission dynamics of dengue fever, which is transmitted between human by biting of infectious mosquitoes. The Suusceptible - Infected - Recovery (SIR) model is a tool toinvestigate the disease. The infected vectors, which are caused by both biting of infected human and vector-born infection are proposed. We apply standard dynamic modeling method to analysis our mathematical model. The stability of the model is analyzed by Routh-Hurwitz criteria. The numerical solutions show that the dynamic behaviors converge to the endemic equilibrium state. The relation between each individual variable with the biting rate of mosquito are presented.